Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Regular and Chaotic Dynamics, 2025, Volume 30, Issue 4, Pages 566–581
DOI: https://doi.org/10.1134/S1560354725040070 (Mi rcd1321) 		 
Special Issue: Celebrating the 75th Birthday of V.V. Kozlov (Issue Editors: Sergey Bolotin, Vladimir Dragović, and Dmitry Treschev)

On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle

Alexander I. Bufetov, Ilya I. Zavolokin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, 119991 Moscow, Russia
Full-text PDF
References:
PDF
HTML
DOI: https://doi.org/10.1134/S1560354725040070
Abstract: The aim of this note is to present a simple observation that a slight refinement of the contraction mapping principle allows one to recover the precise convergence rate in the Picard – Lindelöf theorem.
Keywords: Picard – Lindelöf argument, Banach – Caccioppoli contraction mapping principle, existence and uniqueness of solutions, ordinary differential equation
Funding agency Grant number
Russian Science Foundation 24-71-10109
This work was supported by the Russian Science Foundation under grant no. 24-71-10109, https://rscf.ru/en/project/24-71-10109/.
Received: 17.06.2025
Accepted: 16.07.2025
Bibliographic databases:
Document Type: Article
MSC: 46N20, 34A05, 34-03
Language: English
Citation: Alexander I. Bufetov, Ilya I. Zavolokin, “On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle”, Regul. Chaotic Dyn., 30:4 (2025), 566–581
Citation in format AMSBIB
\Bibitem{BufZav25}
\by Alexander I. Bufetov, Ilya I. Zavolokin
\paper On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 4
\pages 566--581
\mathnet{http://mi.mathnet.ru/rcd1321}
\crossref{https://doi.org/10.1134/S1560354725040070}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001548326100016}
Linking options:
  • https://www.mathnet.ru/eng/rcd1321
  • https://www.mathnet.ru/eng/rcd/v30/i4/p566
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025